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3 years ago

The table shows a relationship between the number of

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

In class 9A the ratio of boys to girls is 3:4. if there are 12 boys,how many girls are there?

Mamont248 [21]

16 girls. 12 divided by 4 is 3, so this means that you have to take 4 and multiply it by 4 which equals to 16.

3 0

3 years ago

Pretend that you can have 100 of any one thing. What would you choose?why?

Shkiper50 [21]

I would like 100 like 100 things of food because i can feed the food to the homeless

8 0

3 years ago

Read 2 more answers

URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP

Otrada [13]

The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13

The two lines can be anything as long as they give this solution

For example, if you wrote x + y = 16 (you know their values already)

Then write another y - x = 10

From here you have your equations, turn them into the f(x) form.

x + y = 16 can be turned into y = 16 - x which is f(x)=16-x

y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x

8 0

3 years ago

Which is not an improper fraction equal to eight

Oliga [24]

The fraction that is improper and it equals 8 is 64/8

7 0

3 years ago

Read 2 more answers